Probability limit theory is one of the main branches of probability theory and is a very important theoretical basis in probability statistics The classical limit theory is based on independent random variables as the main research object，but in practice，most of the random variables are not independent，and the negatively related random variable sequence is a typical and widely used random variable sequence in the sequence of dependent random variables For the limit problem of negatively correlated random variable weights and sequences，in this paper，we study the complete moment convergence for weighted sums of arrays of negatively associated(NA，for short) random variables As an application，we present the complete moment convergence of linear processes based on NA random variables The results obtained in this generalized paper improve the corresponding theorems of Baek et al